TY  - JOUR
AU  - Pedro, Francisco
AU  - Westphal, Alexander
TI  - Inflation with a Graceful Exit in a Random Landscape
JO  - Journal of high energy physics
VL  - 2017
IS  - 3
SN  - 1029-8479
CY  - Berlin
PB  - Springer
M1  - PUBDB-2017-01557
M1  - IFT-UAM-CSIC-16-128 DESY-16-224
M1  - arXiv:1611.07059
SP  - 163
PY  - 2017
AB  - We develop a stochastic description of small-field inationary histories witha graceful exit in a random potential whose Hessian is a Gaussian random matrix as amodel of the unstructured part of the string landscape. The dynamical evolution in sucha random potential from a small-field ination region towards a viable late-time de Sitter(dS) minimum maps to the dynamics of Dyson Brownian motion describing the relaxationof non-equilibrium eigenvalue spectra in random matrix theory. We analytically computethe relaxation probability in a saddle point approximation of the partition function ofthe eigenvalue distribution of the Wigner ensemble describing the mass matrices of thecritical points. When applied to small-field ination in the landscape, this leads to anexponentially strong bias against small-field ranges and an upper bound N <<  10 on thenumber of light fields N participating during ination from the non-observation of negativespatial curvature.
KW  - matrix model: random (INSPIRE)
KW  - potential: random (INSPIRE)
KW  - inflation (INSPIRE)
KW  - landscape (INSPIRE)
KW  - saddle-point approximation (INSPIRE)
KW  - critical phenomena (INSPIRE)
KW  - partition function (INSPIRE)
KW  - Brownian motion (INSPIRE)
KW  - stochastic (INSPIRE)
KW  - curvature (INSPIRE)
KW  - de Sitter (INSPIRE)
KW  - history (INSPIRE)
KW  - string (INSPIRE)
LB  - PUB:(DE-HGF)29 ; PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000397972200004
DO  - DOI:10.1007/JHEP03(2017)163
UR  - https://bib-pubdb1.desy.de/record/320189
ER  -